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Singularities of the minimal model p...

Kollar, Janos.

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Singularities of the minimal model program

Record Type:	Electronic resources : Monograph/item
Title/Author:	Singularities of the minimal model program/ Janos Kollar, Princeton University ; with the collaboration of Sandor Kovacs, University of Washington.
Author:	Kollar, Janos.
other author:	Kovacs, Sandor J.
Published:	Cambridge :Cambridge University Press, : 2013.,
Description:	x, 370 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Preface -- Introduction -- Preliminaries -- Canonical and log canonical singularities -- Examples -- Adjunction and residues -- Semi-log-canonical pairs -- Du Bois property -- Log centers and depth -- Survey of further results and applications -- Finite equivalence relations -- Ancillary results.
Subject:	Singularities (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9781139547895
ISBN:	9781139547895

Singularities of the minimal model program
Kollar, Janos.

Singularities of the minimal model program[electronic resource] /Janos Kollar, Princeton University ; with the collaboration of Sandor Kovacs, University of Washington. - Cambridge :Cambridge University Press,2013. - x, 370 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;200. - Cambridge tracts in mathematics ;200..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preface -- Introduction -- Preliminaries -- Canonical and log canonical singularities -- Examples -- Adjunction and residues -- Semi-log-canonical pairs -- Du Bois property -- Log centers and depth -- Survey of further results and applications -- Finite equivalence relations -- Ancillary results.

This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.

ISBN: 9781139547895Subjects--Topical Terms:

588970
Singularities (Mathematics)

LC Class. No.: QA614.58 / .K685 2013

Dewey Class. No.: 516.35

Singularities of the minimal model program
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245 1 0 $a Singularities of the minimal model program $h [electronic resource] / $c Janos Kollar, Princeton University ; with the collaboration of Sandor Kovacs, University of Washington.
260 $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a x, 370 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 200
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Preface -- Introduction -- Preliminaries -- Canonical and log canonical singularities -- Examples -- Adjunction and residues -- Semi-log-canonical pairs -- Du Bois property -- Log centers and depth -- Survey of further results and applications -- Finite equivalence relations -- Ancillary results.
520 $a This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results.
650 0 $a Singularities (Mathematics) $3 588970
650 0 $a Algebraic spaces. $3 705293
700 1 $a Kovacs, Sandor J. $q (Sandor Jozsef) $3 3470618
830 0 $a Cambridge tracts in mathematics ; $v 200. $3 3470619
856 4 0 $u https://doi.org/10.1017/CBO9781139547895